Graph theoryAssociative ringsDirected graphsRepresentations of graphsAssociative rings and algebras -- Representation theory of rings and algebras -- Representations of quivers and partially ordered setsAlgebraic geometry -- Cycles and subschemes -- Parametrization (Chow and Hilbert schemes)Algebraic geometry -- Families, fibrations -- Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)Associative rings and algebras -- Representation theory of rings and algebras -- Representation type (finite, tame, wild, etc.).Associative rings and algebras -- Representation theory of rings and algebras -- Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quiversNonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights)
